Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63916i |
Isogeny class |
Conductor |
63916 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-575493409399088384 = -1 · 28 · 194 · 297 |
Discriminant |
Eigenvalues |
2- -3 3 0 3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26071,-36534722] |
[a1,a2,a3,a4,a6] |
Generators |
[702:17062:1] |
Generators of the group modulo torsion |
j |
-12869712/3779309 |
j-invariant |
L |
4.8172174494173 |
L(r)(E,1)/r! |
Ω |
0.13010709850622 |
Real period |
R |
4.6281270433139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204a1 |
Quadratic twists by: 29 |